ricci almost solitons and gradient ricci almost solitons in $(k,\mu)$-paracontact geometry
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ID: 182424
2019
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Abstract
The purpose of this paper is to study Ricci almost soliton and gradient Ricci almost soliton in $(k,\mu)$-paracontact metric manifolds. We prove the non-existence of Ricci almost soliton in a $(k,\mu)$-paracontact metric manifold $M$ with $k<-1$ or $k>-1$ and whose potential vector field is the Reeb vector field $\xi$. Further, if the metric $g$ of a $(k,\mu)$-paracontact metric manifold $M^{2n+1}$ with $k\neq-1$ is a gradient Ricci almost soliton, then we prove either the manifold is locally isometric to a product of a flat $(n+1)$-dimensional manifold and an $n$-dimensional manifold of negative constant curvature equal to $-4$, or, $M^{2n+1}$ is an Einstein manifold.
| Reference Key |
de2019boletimricci
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|---|---|
| Authors | ;Uday Chand De;Krishanu Mandal |
| Journal | urban geography |
| Year | 2019 |
| DOI |
10.5269/bspm.v37i3.33027
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| URL | |
| Keywords | Keywords not found |
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